Details

Time bar (total: 30.9s)

sample313.0ms

Algorithm
intervals
Results
52.0ms256×body80valid
8.0ms256×pre80true

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5000
53177
4483
3159
272
135
018

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0)) (cos (* 2.0 (* PI u2))) 0.5)
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0))
0.3b
(* PI u2)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
65×add-sqr-sqrt
63×*-un-lft-identity add-cube-cbrt
29×add-exp-log
15×unpow-prod-down sqr-pow
13×associate-/r*
12×div-exp
11×add-cbrt-cube
9×pow1
7×div-inv
6×pow-exp
5×associate-/l*
4×expm1-log1p-u prod-exp log1p-expm1-u add-log-exp
3×pow-to-exp cbrt-undiv pow-unpow associate-*r* associate-*l*
2×pow-pow pow-prod-down
1×clear-num frac-2neg associate-/r/ *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 155
Calls
4 calls:
1.0ms
(fma (/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0)) (cos (* 2.0 (* PI u2))) 0.5)
9.0ms
(pow (* -2.0 (log u1)) 0.5)
21.0ms
(/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0))
8.0ms
(* PI u2)

series2.1s

Counts
4 → 12
Calls
4 calls:
655.0ms
(fma (/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0)) (cos (* 2.0 (* PI u2))) 0.5)
377.0ms
(pow (* -2.0 (log u1)) 0.5)
1.0s
(/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0))
34.0ms
(* PI u2)

simplify1.7s

Counts
167 → 167
Iterations
IterNodes
done5000
23876
1811
0322

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.16666666666666666 (cos (* (* u2 PI) 2.0)))
0.1b
(pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5)
0.2b
(fma (pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5) (* 0.16666666666666666 (cos (* (* u2 PI) 2.0))) 0.5)
0.3b
(* u2 PI)

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log
59×pow-exp prod-exp
29×pow-to-exp
13×add-sqr-sqrt
9×pow1 *-un-lft-identity add-cube-cbrt
8×add-cbrt-cube
6×associate-*r* associate-*l*
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow *-commutative cbrt-unprod unswap-sqr
1×unpow-prod-down fma-udef sqr-pow
Counts
4 → 98
Calls
4 calls:
40.0ms
(* 0.16666666666666666 (cos (* (* u2 PI) 2.0)))
42.0ms
(pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5)
0.0ms
(fma (pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5) (* 0.16666666666666666 (cos (* (* u2 PI) 2.0))) 0.5)
5.0ms
(* u2 PI)

series2.9s

Counts
4 → 12
Calls
4 calls:
47.0ms
(* 0.16666666666666666 (cos (* (* u2 PI) 2.0)))
1.8s
(pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5)
951.0ms
(fma (pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5) (* 0.16666666666666666 (cos (* (* u2 PI) 2.0))) 0.5)
26.0ms
(* u2 PI)

simplify3.0s

Counts
110 → 110
Iterations
IterNodes
done5001
21827
1567
0230

prune838.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (pow (- (log u1)) 1.0) 0.5)
0.2b
(fma (* (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5) (pow (pow (- (log u1)) 1.0) 0.5)) (* 0.16666666666666666 (cos (* (* u2 PI) 2.0))) 0.5)
0.3b
(* u2 PI)
0.4b
(* (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5) (pow (pow (- (log u1)) 1.0) 0.5))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
132×pow-exp
114×add-exp-log
106×prod-exp
65×unpow-prod-down
61×pow-to-exp
30×add-sqr-sqrt
23×associate-*r*
17×*-un-lft-identity add-cube-cbrt
14×sqr-pow
11×unswap-sqr
10×pow1
8×distribute-lft-neg-in distribute-rgt-neg-in add-cbrt-cube associate-*l*
4×expm1-log1p-u log-pow log1p-expm1-u add-log-exp
3×pow-unpow
2×neg-mul-1 pow-prod-down *-commutative cbrt-unprod
1×pow-pow fma-udef
Counts
4 → 171
Calls
4 calls:
12.0ms
(pow (pow (- (log u1)) 1.0) 0.5)
0.0ms
(fma (* (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5) (pow (pow (- (log u1)) 1.0) 0.5)) (* 0.16666666666666666 (cos (* (* u2 PI) 2.0))) 0.5)
6.0ms
(* u2 PI)
71.0ms
(* (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5) (pow (pow (- (log u1)) 1.0) 0.5))

series3.7s

Counts
4 → 12
Calls
4 calls:
576.0ms
(pow (pow (- (log u1)) 1.0) 0.5)
1.4s
(fma (* (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5) (pow (pow (- (log u1)) 1.0) 0.5)) (* 0.16666666666666666 (cos (* (* u2 PI) 2.0))) 0.5)
27.0ms
(* u2 PI)
1.7s
(* (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5) (pow (pow (- (log u1)) 1.0) 0.5))

simplify2.1s

Counts
183 → 183
Iterations
IterNodes
done5001
22538
1613
0257

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (/ 1 (cbrt 6.0)) (/ 1 (cbrt 6.0))) (/ (pow (* -2.0 (log u1)) 0.5) (/ (cbrt 6.0) 1.0)))
1.0b
(cbrt 6.0)
1.0b
(cbrt 6.0)
1.0b
(cbrt 6.0)

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
730×add-exp-log
348×div-exp
331×prod-exp
210×times-frac
115×associate-*r*
109×add-sqr-sqrt
95×*-un-lft-identity add-cube-cbrt
72×rec-exp 1-exp
68×pow-exp
56×cbrt-prod add-cbrt-cube
34×pow-to-exp
27×cbrt-undiv cbrt-unprod
25×sqr-pow
22×unpow-prod-down
9×pow1
7×unswap-sqr
6×frac-times associate-*l/ div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*r/
2×un-div-inv
1×associate-*l* associate-/r/ *-commutative
Counts
4 → 351
Calls
4 calls:
133.0ms
(* (* (/ 1 (cbrt 6.0)) (/ 1 (cbrt 6.0))) (/ (pow (* -2.0 (log u1)) 0.5) (/ (cbrt 6.0) 1.0)))
1.0ms
(cbrt 6.0)
1.0ms
(cbrt 6.0)
2.0ms
(cbrt 6.0)

series1.4s

Counts
4 → 6
Calls
4 calls:
1.4s
(* (* (/ 1 (cbrt 6.0)) (/ 1 (cbrt 6.0))) (/ (pow (* -2.0 (log u1)) 0.5) (/ (cbrt 6.0) 1.0)))
0.0ms
(cbrt 6.0)
0.0ms
(cbrt 6.0)
0.0ms
(cbrt 6.0)

simplify1.8s

Counts
357 → 357
Iterations
IterNodes
done5001
12231
0538

prune1.9s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes468.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done20
120
017

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.8s8000×body80valid
218.0ms8000×pre80true